Let's divide 53666 by 71
We're looking to find how many times 71 goes into 53666.

Going ahead to step 1:
71 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 71

Step 2:
The number 71 fits into 53 0 times, leaving a remainder of 53.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 53 after subtracting 0 from 53.
Bring next digit (6) of the dividend behind the 53 and repeat the process: 536 / 71

Going ahead to step 3:
71 goes into 536 7 times with a remainder of 39.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 497 from 536 to get 39.
Grab the next digit (6) from the dividend, add it to 39, then carry on: 396 / 71

Going ahead to step 4:
71 can be fit into 396 5 times, resulting in a remainder of 41.
Use 5 as the next digit of our solution. 
Result so far: 75.0
If we subtract 355 from 396, we get 41.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 71

Let's proceed to step 5:
If we divide 416 by 71, we get 5 and a remainder of 61.
Record the quotient 5 as the next digit in the result. 
Result so far: 755.0
If we take 355 away from 416, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 6:
71 goes into 610 8 times with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 755.8
Deduct 568 from 610 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 7:
420 divided by 71 is 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 755.85
The remainder is 65 after subtracting 355 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 8:
650 divided by 71 is 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 755.859
If we take 639 away from 650, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
If we divide 110 by 71, we get 1 and a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 755.8591
The remainder is 39 after subtracting 71 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 10:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 755.85915
The remainder is 35 after subtracting 355 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 11:
If we divide 350 by 71, we get 4 and a remainder of 66.
The next digit of our result is 4. 
Result so far: 755.859154
The remainder is 66 after subtracting 284 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 12:
660 divided by 71 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 755.8591549
Deduct 639 from 660 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 13:
The number 71 fits into 210 2 times, leaving a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 755.85915492
Deduct 142 from 210 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The final result is 755.85915492 with a remainder of 6.8e-08.